GCD of 992, 323, 296, 697 Calculator

Given Input numbers are 992, 323, 296, 697

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 992, 323, 296, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 323, 296, 697 is 1.

Therefore, GCD of numbers 992, 323, 296, 697 is 1

Given Input Data is 992, 323, 296, 697

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

Prime Factorization of 323 is 17 x 19

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 697 is 17 x 41

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(992, 323) = 320416

GCD(992, 323) = ( 992 x 323 ) / 320416

GCD(992, 323) = 320416 / 320416

GCD(992, 323) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 296

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 296) = 296

GCD(1, 296) = ( 1 x 296 ) / 296

GCD(1, 296) = 296 / 296

GCD(1, 296) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 992, 323, 296, 697 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 495, 235, 558
• GCD of 640, 435, 749, 370
• GCD of 933, 911, 541, 251
• GCD of 587, 720, 666, 956
• GCD of 491, 165, 875, 132

1. What is the GCD of 992, 323, 296, 697?

GCD of 992, 323, 296, 697 is 1

2. Where do I get the detailed procedure to find GCD of 992, 323, 296, 697?

You can find a detailed procedure to find GCD of 992, 323, 296, 697 on our page.

3. How to find GCD of 992, 323, 296, 697 on a calculator?

You can find the GCD of 992, 323, 296, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.